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Finding the Fourth Proportional to 1,012.92, 1,519.38 and 650.04

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Solution

The fourth proportional to 1,012.92, 1,519.38 and 650.04 is: 975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.92 : 1,519.38 = 650.04 : x
  2. Step 2: Convert to fraction form
    1,012.92/1,519.38 = 650.04/x
  3. Step 3: Cross multiply
    1,012.92x = 1,519.38 × 650.04
  4. Step 4: Simplify right side
    1,012.92x = 987,657.78
  5. Step 5: Solve for x
    x = 987,657.78/1,012.92
  6. Step 6: Final answer
    x = 975.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.